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Finding the Third Proportional to 12,970.13 and 25,234.03

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Solution

The third proportional to 12,970.13 and 25,234.03 is: 49,094.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,970.13 : 25,234.03 = 25,234.03 : x
  2. Step 2: Convert to fraction form
    12,970.13/25,234.03 = 25,234.03/x
  3. Step 3: Cross multiply
    12,970.13x = 25,234.03 × 25,234.03
  4. Step 4: Simplify right side
    12,970.13x = 636,756,333.13
  5. Step 5: Solve for x
    x = 636,756,333.13/12,970.13
  6. Step 6: Final answer
    x = 49,094.08

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.